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How do I find the indicated IQ score when the given mean is 100 and the give standard divatation is 15 and the area is 0.3204?

How do I find the indicated IQ score when the given mean is 100 and the give standard divatation is 15 and the area is 0.3204?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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How do I find the indicated IQ score when the given mean is 100 and the give standard divatation is 15 and the area is 0.3204?

 

The image shows a normal distribution curve, also known as a bell curve. This is a continuous probability distribution commonly used in statistics. The curve is symmetrical and depicts the distribution of data points where most occurrences take place near the mean, forming a peak in the center. In this diagram: - The horizontal axis is labeled as "X," representing the variable of interest. - The vertical line intersects the curve and corresponds to a specific value on the X-axis. - To the right of this line, a portion of the curve is shaded in light blue. - The shaded area represents a probability region, which corresponds to a value of 0.3204. This indicates that the probability of the variable falling within this range is 32.04%. This graph is often used to illustrate the concept of cumulative probability and to show the portion of data within a standard deviation from the mean.
Transcribed Image Text:The image shows a normal distribution curve, also known as a bell curve. This is a continuous probability distribution commonly used in statistics. The curve is symmetrical and depicts the distribution of data points where most occurrences take place near the mean, forming a peak in the center. In this diagram: - The horizontal axis is labeled as "X," representing the variable of interest. - The vertical line intersects the curve and corresponds to a specific value on the X-axis. - To the right of this line, a portion of the curve is shaded in light blue. - The shaded area represents a probability region, which corresponds to a value of 0.3204. This indicates that the probability of the variable falling within this range is 32.04%. This graph is often used to illustrate the concept of cumulative probability and to show the portion of data within a standard deviation from the mean.
**Help Me Solve This | 4 parts remaining** Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. *** While technology or a standard normal distribution table can be used to identify the z-score corresponding to the given area, for this problem use technology. Note that with many technologies, the x-value can be found directly. Identify the z-score corresponding to an area of 0.3204 to the right of x, as shown in the graph. The z-score is ____. (Round to two decimal places as needed.) --- **Graph Description:** The graph shown is a normal distribution curve illustrating IQ scores. The shaded area on the right of point x represents an area of 0.3204 under the curve, highlighting the portion of scores greater than x.
Transcribed Image Text:**Help Me Solve This | 4 parts remaining** Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. *** While technology or a standard normal distribution table can be used to identify the z-score corresponding to the given area, for this problem use technology. Note that with many technologies, the x-value can be found directly. Identify the z-score corresponding to an area of 0.3204 to the right of x, as shown in the graph. The z-score is ____. (Round to two decimal places as needed.) --- **Graph Description:** The graph shown is a normal distribution curve illustrating IQ scores. The shaded area on the right of point x represents an area of 0.3204 under the curve, highlighting the portion of scores greater than x.
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